Asymptotic behavior for minimizers of a p-energy functional associated with p-harmonic map

Yutian Lei · Electronic journal of qualitative theory of differential equations · 2004

The author studies the asymptotic behavior of minimizers $u_{\varepsilon}$ of a p-energy functional with penalization as $\varepsilon \to 0$. Several kinds of convergence for the minimizer to the p-harmonic map are presented under different assumptions.

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